〈a, b | aba=a, aaab=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁸ ⇒ a³
2. ba³ ⇒ a⁷
3. aba ⇒ a
4. a³b² ⇒ a⁷b
5. b³ ⇒ a³b

Right Cayley graph (truncated)

Left Cayley graph (truncated)